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Paper Information

Journal:   JOURNAL OF APPLIED FLUID MECHANICS (JAFM)   2016 , Volume 9 , Number 6; Page(s) 2837 To 2843.
 
Paper: 

CAPILLARY RISE OF MAGNETOHYDRODYNAMICS LIQUID INTO DEFORMABLE POROUS MATERIAL

 
 
Author(s):  SIDDIQUE J.I.*, KARA A.
 
* DEPARTMENT OF MATHEMATICS, PENNSYLVANIA STATE UNIVERSITY, YORK CAMPUS, PA 17403 USA
 
Abstract: 

We have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material that induces a stress gradient which in turn causes deformation that is characterized by a variable solid fraction. The problem is formulated as a non-linear moving boundary problem which we solve using the method of lines approach after transforming to a fixed computational domain. The summary of our finding includes a notable reduction in capillary rise and a decrease in solid deformation due to magnetic effects.

 
Keyword(s): CAPILLARY RISE, MAGNETOHYDRODYNAMICS FLUID, DEFORMABLE POROUS MEDIA, MIXTURE THEORY
 
References: 
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